A worker is packing items in a boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time. Number of Minutes Number of Items Packed Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?
To determine the rate of change, we need to examine how the number of items packed changes as the number of minutes increases. Looking at the table, we can observe that for every 5 minutes, the worker is packing 10 items. Therefore, the rate of change is 10 items per 5 minutes, or in simplified form, 2 items per minute.
The statement that describes the rate of change is: The rate of change is 2 items per minute.
number of min 4 6 12 14
number of items packed 20 26 44 50
To find the rate of change, we can look at the difference in the number of items packed for consecutive minutes.
The difference in the number of items packed between minutes 4 and 6 is 26 - 20 = 6.
The difference in the number of items packed between minutes 12 and 14 is 50 - 44 = 6.
Therefore, the rate of change is 6 items per 2 minutes, or in simplified form, 3 items per minute.
The statement that describes the rate of change is: The rate of change is 3 items per minute.